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Finding the Fourth Proportional to 39,192, 54,087.36 and 22,197.84

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Solution

The fourth proportional to 39,192, 54,087.36 and 22,197.84 is: 30,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,192 : 54,087.36 = 22,197.84 : x
  2. Step 2: Convert to fraction form
    39,192/54,087.36 = 22,197.84/x
  3. Step 3: Cross multiply
    39,192x = 54,087.36 × 22,197.84
  4. Step 4: Simplify right side
    39,192x = 1,200,622,563.30
  5. Step 5: Solve for x
    x = 1,200,622,563.30/39,192
  6. Step 6: Final answer
    x = 30,634.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.